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Finding the Fourth Proportional to 14,878.52, 20,532.62 and 8,164.14

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Solution

The fourth proportional to 14,878.52, 20,532.62 and 8,164.14 is: 11,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.52 : 20,532.62 = 8,164.14 : x
  2. Step 2: Convert to fraction form
    14,878.52/20,532.62 = 8,164.14/x
  3. Step 3: Cross multiply
    14,878.52x = 20,532.62 × 8,164.14
  4. Step 4: Simplify right side
    14,878.52x = 167,631,184.25
  5. Step 5: Solve for x
    x = 167,631,184.25/14,878.52
  6. Step 6: Final answer
    x = 11,266.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.